中国海洋大学学报（自然科学版）2012，Vol.42Issue(1)：169-172,4.
一类具有梯度项的超定边值问题中解的对称性
The Symmetry of Solution for a Class of Overdetermined Boundary Value Problem Containing Gradient
摘要
Abstract
The classical moving plane method is med to investigate the symmetry of solutions for a class of Laplacian overdetermined equation which contains the gradient. The sufficient condition for the symmetry of solutions and domain is obtained and it's found out that the symmetry of the solution and domain depends on the continuity symmetry of the non-homogeneous term on the spatial variable and the continuity on the partial derivative to the gradient.关键词
拉普拉斯方程/超定问题/对称性Key words
Laplace equation/ overdetermined /symmetry AMS分类
数理科学引用本文复制引用
方钟波,王安娜,张临杰..一类具有梯度项的超定边值问题中解的对称性[J].中国海洋大学学报（自然科学版）,2012,42(1):169-172,4.基金项目
国家留学回国人员科研启动基金项目(910937020) （910937020）
中央高校基本科研业务费专项基金项目(201013043)资助 （201013043）
